求答案(1+1/2002+1/2003+1/2004)(1/2002+1/2003+1/2004+1/2005)-(1+1/2002+1/2003+1/2004+1/2005)(1/20(1+1/2002+1/2003+1/2004)(1/2002+1/2003+1/2004+1/2005)-(1+1/2002+1/2003+1/2004+1/2005)(1/2002+1/2003+1/2004)=

题目详情

求答案(1+1/2002+1/2003+1/2004)*(1/2002+1/2003+1/2004+1/2005)-(1+1/2002+1/2003+1/2004+1/2005)*(1/20
(1+1/2002+1/2003+1/2004)*(1/2002+1/2003+1/2004+1/2005)-(1+1/2002+1/2003+1/2004+1/2005)*(1/2002+1/2003+1/2004)=

▼优质解答

答案和解析

令a=1/2002+1/2003+1/2004
则原式=(1+a)(a+1/2005)-(1+a+1/2005)a
=(1+a)a+1/2005(1+a)-(1+a)a-1/2005a
=1/2005(1+a)-1/2005a
=1/2005+1/2005a-1/2005a
=1/2005

看了求答案(1+1/2002+1/...的网友还看了以下：

相关搜索：=1/2003 求答案 1 -1/2002 1/2004 1/2005 1/20

求答案(1+1/2002+1/2003+1/2004)*(1/2002+1/2003+1/2004+1/2005)-(1+1/2002+1/2003+1/2004+1/2005)*(1/20(1+1/2002+1/2003+1/2004)*(1/2002+1/2003+1/2004+1/2005)-(1+1/2002+1/2003+1/2004+1/2005)*(1/2002+1/2003+1/2004)=

求答案(1+1/2002+1/2003+1/2004)(1/2002+1/2003+1/2004+1/2005)-(1+1/2002+1/2003+1/2004+1/2005)(1/20(1+1/2002+1/2003+1/2004)(1/2002+1/2003+1/2004+1/2005)-(1+1/2002+1/2003+1/2004+1/2005)(1/2002+1/2003+1/2004)=